PRP Records

Probable Primes Top 10000

(301678 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 50000) Who ? When ?
80012^346750+140967104383Stefano Morozzi11/2024
80022^346751+48515104383Stefano Morozzi11/2024
80032^346751+74481104383Stefano Morozzi11/2024
80042^346752+103497104383Stefano Morozzi11/2024
80052^346747+4589104382Stefano Morozzi11/2024
80062^346747+29969104382Stefano Morozzi11/2024
80072^346747+130973104382Stefano Morozzi11/2024
80082^346748+184387104382Stefano Morozzi11/2024
80092^346743+39545104381Stefano Morozzi11/2024
80102^346743+61335104381Stefano Morozzi11/2024
80112^346746+99025104381Stefano Morozzi11/2024
80122^346737+39431104379Stefano Morozzi11/2024
80132^346733+96437104378Stefano Morozzi11/2024
80142^346736+83025104378Stefano Morozzi11/2024
80152^346736+196405104378Stefano Morozzi11/2024
80162^346732+72685104377Stefano Morozzi11/2024
80172^346727+86903104376Stefano Morozzi11/2024
80182^346727+89829104376Stefano Morozzi11/2024
80192^346729+199319104376Stefano Morozzi11/2024
80202^346723+73521104375Stefano Morozzi11/2024
80212^346724+91177104375Stefano Morozzi11/2024
80222^346726+191527104375Stefano Morozzi11/2024
80232^346720+235104374Stefano Morozzi11/2024
80242^346720+189435104374Stefano Morozzi11/2024
80252^346718+124833104373Stefano Morozzi11/2024
80262^346718+127029104373Stefano Morozzi11/2024
80272^346719+129291104373Stefano Morozzi11/2024
80282^346719+183033104373Stefano Morozzi11/2024
80292^346714+81909104372Stefano Morozzi11/2024
80302^346714+174493104372Stefano Morozzi11/2024
80312^346716+174123104372Stefano Morozzi11/2024
80322^346711+160659104371Stefano Morozzi11/2024
80332^346710+143649104371Stefano Morozzi11/2024
80342^346712+52063104371Stefano Morozzi11/2024
80352^346707+27099104370Stefano Morozzi11/2024
80362^346708+26217104370Stefano Morozzi11/2024
80372^346708+165715104370Stefano Morozzi11/2024
80382^346705+6581104369Stefano Morozzi11/2024
80392^346705+39851104369Stefano Morozzi11/2024
80402^346706+172963104369Stefano Morozzi11/2024
80433^218744+58104368Lelio R Paula11/2016
80412^346700+191515104368Stefano Morozzi11/2024
80422^346701+164841104368Stefano Morozzi11/2024
80442^346694+20437104366Stefano Morozzi11/2024
80452^346694+131557104366Stefano Morozzi11/2024
80462^346695+6795104366Stefano Morozzi11/2024
80472^346691+158613104365Stefano Morozzi11/2024
80482^346692+122623104365Stefano Morozzi11/2024
80492^346687+188033104364Stefano Morozzi11/2024
80502^346688+71005104364Stefano Morozzi11/2024
80512^346688+89811104364Stefano Morozzi11/2024
80522^346688+122115104364Stefano Morozzi11/2024
80532^346689+100829104364Stefano Morozzi11/2024
80542^346689+172847104364Stefano Morozzi11/2024
80552^346685+136145104363Stefano Morozzi11/2024
80589*10^104361+89104362Robert Price11/2019
80562^346681+58601104362Stefano Morozzi11/2024
80572^346681+186111104362Stefano Morozzi11/2024
80592^346676+82285104360Stefano Morozzi11/2024
80602^346670+69985104359Stefano Morozzi11/2024
80612^346672+85371104359Stefano Morozzi11/2024
80622^346673+47231104359Stefano Morozzi11/2024
806825048^14665+14665^25048104358Hans Havermann09/2020
80632^346667+84359104358Stefano Morozzi11/2024
80642^346668+26391104358Stefano Morozzi11/2024
80652^346668+138987104358Stefano Morozzi11/2024
80662^346669+27735104358Stefano Morozzi11/2024
80672^346669+33989104358Stefano Morozzi11/2024
80692^346664+16377104357Stefano Morozzi11/2024
80702^346666+29595104357Stefano Morozzi11/2024
80712^346660+61095104356Stefano Morozzi11/2024
80722^346661+114311104356Stefano Morozzi11/2024
80732^346662+75745104356Stefano Morozzi11/2024
80742^346663+123305104356Stefano Morozzi11/2024
80752^346662+150475104356Stefano Morozzi11/2024
80762^346658+28393104355Stefano Morozzi11/2024
80772^346658+137619104355Stefano Morozzi11/2024
80782^346659+86415104355Stefano Morozzi11/2024
80792^346659+117849104355Stefano Morozzi11/2024
80802^346655+199859104354Stefano Morozzi11/2024
80812^346656+100627104354Stefano Morozzi11/2024
80822^346651+88491104353Stefano Morozzi11/2024
80832^346652+32971104353Stefano Morozzi11/2024
80842^346652+85321104353Stefano Morozzi11/2024
80852^346652+100627104353Stefano Morozzi11/2024
80862^346652+190255104353Stefano Morozzi11/2024
80872^346652+194667104353Stefano Morozzi11/2024
80882^346652+197073104353Stefano Morozzi11/2024
80922^346649+65104352Lelio R Paula09/2011
80892^346647+128475104352Stefano Morozzi11/2024
80902^346647+181169104352Stefano Morozzi11/2024
80912^346648+97381104352Stefano Morozzi11/2024
8093(19*33^68718-600883)/32104350Eric Chen05/2023
80942^346640+73723104350Stefano Morozzi11/2024
80952^346641+169667104350Stefano Morozzi11/2024
80962^346642+100395104350Stefano Morozzi11/2024
80972^346643+61025104350Stefano Morozzi11/2024
80982^346643+160785104350Stefano Morozzi11/2024
81002^346638-17265104349Enzo Doria05/2013
80992^346637+34139104349Stefano Morozzi11/2024
81012^346635+13071104348Stefano Morozzi11/2024
81022^346630+66003104347Stefano Morozzi11/2024
81032^346630+187137104347Stefano Morozzi11/2024
81042^346631+27393104347Stefano Morozzi11/2024
81052^346632+21883104347Stefano Morozzi11/2024
81062^346632+136015104347Stefano Morozzi11/2024
81072^346628+87907104346Stefano Morozzi11/2024
81082^346624+174075104345Stefano Morozzi11/2024
81092^346620+87451104344Stefano Morozzi11/2024
81102^346622+12247104344Stefano Morozzi11/2024
81112^346623+69161104344Stefano Morozzi11/2024
81122^346614+85737104342Stefano Morozzi11/2024
81132^346611+183923104341Stefano Morozzi11/2024
81142^346607+36209104340Stefano Morozzi11/2024
81152^346607+65291104340Stefano Morozzi11/2024
81162^346609+47471104340Stefano Morozzi11/2024
8121(2^346606+2082)/2104339Stefano Morozzi09/2020
8122(2^346607+2070)/2104339Stefano Morozzi09/2020
81172^346605+1041104339Stefano Morozzi11/2024
81182^346605+181167104339Stefano Morozzi11/2024
81192^346606+1035104339Stefano Morozzi11/2024
81202^346606+103863104339Stefano Morozzi11/2024
81232^346601+26529104338Stefano Morozzi11/2024
81242^346603+133431104338Stefano Morozzi11/2024
81252^346597+97661104337Stefano Morozzi11/2024
81262^346597+186809104337Stefano Morozzi11/2024
81272^346598+31719104337Stefano Morozzi11/2024
81282^346598+162513104337Stefano Morozzi11/2024
81292^346599+45731104337Stefano Morozzi11/2024
81302^346599+187061104337Stefano Morozzi11/2024
81312^346600+175993104337Stefano Morozzi11/2024
81322^346595+89753104336Stefano Morozzi11/2024
81332^346595+114491104336Stefano Morozzi11/2024
81342^346596+120183104336Stefano Morozzi11/2024
81352^346591+183651104335Stefano Morozzi11/2024
81362^346591+192149104335Stefano Morozzi11/2024
81372^346592+77347104335Stefano Morozzi11/2024
81382^346592+178161104335Stefano Morozzi11/2024
81392^346592+195985104335Stefano Morozzi11/2024
81402^346589+40607104334Stefano Morozzi11/2024
81412^346590+151533104334Stefano Morozzi11/2024
81422^346584+105103104333Stefano Morozzi11/2024
81432^346585+56861104333Stefano Morozzi11/2024
8149(2^346582+3202)/2104332Stefano Morozzi09/2020
81442^346581+1601104332Stefano Morozzi11/2024
81452^346581+82115104332Stefano Morozzi11/2024
81462^346581+193979104332Stefano Morozzi11/2024
81472^346582+197767104332Stefano Morozzi11/2024
81482^346583+116579104332Stefano Morozzi11/2024
815026092^9967+9967^26092104331Hans Havermann09/2020
81512^346577+47501104331Stefano Morozzi11/2024
81522^346578+163287104331Stefano Morozzi11/2024
81532^346579+37019104331Stefano Morozzi11/2024
81542^346579+119645104331Stefano Morozzi11/2024
81552^346579+157611104331Stefano Morozzi11/2024
81562^346576+100803104330Stefano Morozzi11/2024
81572^346576+144495104330Stefano Morozzi11/2024
81582^346573+13859104329Stefano Morozzi11/2024
81592^346568+110181104328Stefano Morozzi11/2024
81615*10^104326+77104327Robert Price12/2018
81602^346564+151101104327Stefano Morozzi11/2024
8167(2^346564+2026)/2104326Stefano Morozzi09/2020
81622^346561+53385104326Stefano Morozzi11/2024
81632^346561+139791104326Stefano Morozzi11/2024
81642^346562+110383104326Stefano Morozzi11/2024
81652^346563+1013104326Stefano Morozzi11/2024
81662^346563+9305104326Stefano Morozzi11/2024
81682^346558+97033104325Stefano Morozzi11/2024
81692^346556+101283104324Stefano Morozzi11/2024
81702^346551+55043104323Stefano Morozzi11/2024
81712^346547+71855104322Stefano Morozzi11/2024
81722^346548+119695104322Stefano Morozzi11/2024
81732^346550+55249104322Stefano Morozzi11/2024
81742^346550+158655104322Stefano Morozzi11/2024
81752^346545+87885104321Stefano Morozzi11/2024
81762^346545+95105104321Stefano Morozzi11/2024
81772^346546+126763104321Stefano Morozzi11/2024
81782^346546+149397104321Stefano Morozzi11/2024
8179(8925^26569-1)/(8925^163-1)104320Ryan Propper11/2023
81802^346542+128005104320Stefano Morozzi11/2024
81812^346538+123507104319Stefano Morozzi11/2024
81822^346540+118251104319Stefano Morozzi11/2024
81832^346540+128965104319Stefano Morozzi11/2024
81842^346535+138485104318Stefano Morozzi11/2024
81852^346536+149013104318Stefano Morozzi11/2024
81862^346531+98801104317Stefano Morozzi11/2024
81872^346533+12035104317Stefano Morozzi11/2024
81912^346527-111817104316Enzo Doria05/2014
81906^134055+101104316Lelio R Paula11/2016
8188fibonacci(499147)-4104316Jon Grantham08/2023
81892^346529+101351104316Stefano Morozzi11/2024
81922^346524+81585104315Stefano Morozzi11/2024
81932^346524+184821104315Stefano Morozzi11/2024
81942^346525+41051104315Stefano Morozzi11/2024
81952^346525+61845104315Stefano Morozzi11/2024
81962^346521+47439104314Stefano Morozzi11/2024
81972^346522+34689104314Stefano Morozzi11/2024
81982^346519+24543104313Stefano Morozzi11/2024
81992^346519+75119104313Stefano Morozzi11/2024
820392105!4+8104312Robert Price09/2019
82002^346514+11023104312Stefano Morozzi11/2024
82012^346514+22009104312Stefano Morozzi11/2024
82022^346516+107031104312Stefano Morozzi11/2024
82042^346511+65675104311Stefano Morozzi11/2024
82052^346512+105345104311Stefano Morozzi11/2024
82062^346513+80387104311Stefano Morozzi11/2024
82072^346510+104955104310Stefano Morozzi11/2024
82082^346510+145347104310Stefano Morozzi11/2024
82092^346506+105537104309Stefano Morozzi11/2024
82102^346506+145353104309Stefano Morozzi11/2024
82112^346503+160109104308Stefano Morozzi11/2024
82122^346494+155215104306Stefano Morozzi11/2024
82132^346495+26243104306Stefano Morozzi11/2024
82142^346497+108749104306Stefano Morozzi11/2024
82152^346488+146631104304Stefano Morozzi11/2024
82162^346489+6035104304Stefano Morozzi11/2024
82172^346489+16389104304Stefano Morozzi11/2024
82182^346489+175959104304Stefano Morozzi11/2024
82192^346484+119491104303Stefano Morozzi11/2024
82202^346487+12125104303Stefano Morozzi11/2024
82212^346487+92103104303Stefano Morozzi11/2024
82222^346481+199815104302Stefano Morozzi11/2024
82232^346478+2335104301Stefano Morozzi11/2024
82242^346478+121773104301Stefano Morozzi11/2024
82252^346479+80703104301Stefano Morozzi11/2024
82262^346479+164693104301Stefano Morozzi11/2024
82272^346480+156951104301Stefano Morozzi11/2024
82282^346480+176247104301Stefano Morozzi11/2024
82292^346475+178953104300Stefano Morozzi11/2024
82302^346476+83935104300Stefano Morozzi11/2024
82312^346470+182623104298Stefano Morozzi11/2024
82322^346464+54007104297Stefano Morozzi11/2024
82332^346464+55287104297Stefano Morozzi11/2024
82342^346464+84411104297Stefano Morozzi11/2024
82352^346465+15905104297Stefano Morozzi11/2024
82362^346465+27797104297Stefano Morozzi11/2024
82372^346465+85815104297Stefano Morozzi11/2024
82382^346465+92787104297Stefano Morozzi11/2024
82392^346466+133369104297Stefano Morozzi11/2024
82402^346461+30591104296Stefano Morozzi11/2024
82412^346462+74067104296Stefano Morozzi11/2024
82422^346458+68947104295Stefano Morozzi11/2024
82432^346459+39333104295Stefano Morozzi11/2024
82442^346459+110355104295Stefano Morozzi11/2024
82452^346454+166035104294Stefano Morozzi11/2024
82462^346456+132385104294Stefano Morozzi11/2024
82472^346456+138727104294Stefano Morozzi11/2024
82482^346456+176767104294Stefano Morozzi11/2024
82492^346451+72969104293Stefano Morozzi11/2024
82502^346452+10441104293Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 28 2025 10:26 (Time in France)

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